Abstract
This chapter describes the basic mathematical formulation of the Artificial Neural Networks and the multi-objective optimization methods. The concept of Artificial Neural Network is presented and its potential for engineering applications is highlighted. The multi-objective optimization problem is described and formulated and the evolutionary algorithms are described as very promising tools for solving this kind of problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Costa, L. (2003). Algoritmos Evolucionários em Optimização Uni e Multi-objectivo. PhD Thesis, U.M.—University of Minho, Portugal.
Deb, K. (2001). Multi-objective optimization using evolutionary algorithms. Chichester, England: John Wiley & Sons Ltd.
Deb, K., Agrawal, S., Pratap, A., & Meyarivan, T. (2000). A fast and elitist multiobjective genetic algorithm: NSGAII. Technical Report 200001, Indian Institute of Technology, Kanpur: Kanpur Genetic Algorithms Laboratory (KanGAL).
Fonseca, C. M. & Fleming, P. J. (1993). Genetic algorithms for multiobjective optimization: Formulation, discussion, and generalization. In: Proceedings of the Fifth International Conference on Genetic Algorithms. Urbana-Champaign, USA. June 17–21, 1993.
Hagan, M. T., Demuth, H. B., & Beale, M. H. (1996). Neural network design. PWS Publishing Company, Boston. (ISBN 0534943322).
Horn, J., Nafploitis, N., & Goldberg, D. (1994). A niched Pareto genetic algorithm for multiobjective optimization. In: Proceedings of the First IEEE Conference on Evolutionary Computation. Orlando, USA. June 27–29, 1994.
Jain, L. C., Goldberg, R., & Ajith, A. (2005). Evolutionary multiobjective optimization: theoretical advances and applications. New York: Springer.
Justesen, P. D. (2010). Distinct candidates optimization: a novel approach to applied evolutionary multi-and many-objective optimization. PhD Thesis, Faculty of Science of the University of Aarhus.
Kalogirou, S. (1999). Applications of artificial neural networks in energy systems: a review. Energy Conversion and Management, 40(10), 1073–1087.
Magnier, L., & Haghighat, F. (2010). Multiobjective optimization of buildings design using TRNSYS simulations, genetic algorithm, and artificial neural networks. Building and Environment, 45(3), 739–746.
Matlab (2006). Neural network toolbox 6—User’s guide. The MathWorks.
McCulloch, W., & Pitts, W. (1943). A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics, 5, 115–133.
Patterson, D. W. (1996). Artificial neural networks: theory and applications. Prentice Hall, New Jersey. (ISBN 0132953536).
Rosenblatt, F. (1958). The perceptron: A probabilistic model for information storage and organization in the brain. Psychological Review, 65, 386–408.
Schaffer, J. D. (1985). Multiple objective optimization with vector evaluated genetic algorithms. In: Proceedings of the First International Conference on Genetic Algorithms. Pittsburgh, US. July 24–26, 1985.
Zitzler, E., Deb, K., & Thieler, L. (2000). Comparison of multiobjective evolutionary algorithms: empirical results. IEEE Transactions on Evolutionary Computation, 8, 173–195.
Zitzler, E., Laumanns, M., & Thiele, L. (2001). SPEA2: Improving the strength Pareto evolutionary algorithm. Technical Report 103, Computer Engineering and Networks Laborator (TIK), Swiss Federal Institute of Technology (ETH), Zurich, Switzerland.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 The Author(s)
About this chapter
Cite this chapter
Almeida, R.M.S.F., de Freitas, V.P., Delgado, J.M.P.Q. (2015). Optimization and Approximation Methods. In: School Buildings Rehabilitation. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-15359-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-15359-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15358-2
Online ISBN: 978-3-319-15359-9
eBook Packages: EnergyEnergy (R0)